Clearly presented discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.

I. Linear Algebra
A. Fields
B. Vector Spaces
C. Homogeneous Linear Equations
D. Dependence and Independence of Vectors
E. Non-homogeneous Linear Equations
F. Determinants
II. Field Theory
A. Extension fields
B. Polynomials
C. Algebraic Elements
D. Splitting fields
E. Unique Decomposition of Polynomials into Irreducible Factors
F. Group Characters
G. Applications and Examples to Theorem 13
H. Normal Extensions
I. Finite Fields
J. Roots of Unity
K. Noether Equations
L. Kimmer's Fields
M. Simple Extensions
N. Existence of a Normal Basis
O. Theorem on natural Irrationalities
III. Applications. By A. N. Milgram
A. Solvable Groups
B. Permutation Groups
C. Solution of Equations by Radicals
D. The General Equation of Degree n
E. Solvable Equations of Prime Degree
F. Ruler and Compass Construction